Sequential parameter estimation for fluid-structure problems. Application to hemodynamics

Cristobal Bertoglio 1 Philippe Moireau 2 Jean-Frédéric Gerbeau 1
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : We present a robust and computationally efficient parameter estimation strategy for fluid-structure interaction problems. The method is based on a filtering algorithm restricted to the parameter space, known as the reduced order Unscented Kalman Filter. It does not require any adjoint or tangent problems. In addition, it can easily be run in parallel, which is of great interest in fluid-structure problems where the computational cost of the forward simulation is already a challenge in itself. We illustrate our methodology with the estimation of the artery wall stiffness from the wall displacement measurements - as they could be extracted from medical imaging - in a three-dimensional idealized abdominal aortic aneurysm. We also show preliminary results about the estimation of the proximal Windkessel resistance, which is an important parameter for setting appropriate fluid boundary conditions.
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Cristobal Bertoglio, Philippe Moireau, Jean-Frédéric Gerbeau. Sequential parameter estimation for fluid-structure problems. Application to hemodynamics. International Journal for Numerical Methods in Biomedical Engineering, John Wiley and Sons, 2012, 28 (4), pp.434-455. ⟨10.1002/cnm.1476⟩. ⟨inria-00603399⟩

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